What is the Greatest Common Factor of 76170 and 76185?

Greatest common factor (GCF) of 76170 and 76185 is 15.

GCF(76170,76185) = 15

We will now calculate the prime factors of 76170 and 76185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76170 and 76185.

How to find the GCF of 76170 and 76185?

We will first find the prime factorization of 76170 and 76185. After we will calculate the factors of 76170 and 76185 and find the biggest common factor number .

Step-1: Prime Factorization of 76170

Prime factors of 76170 are 2, 3, 5, 2539. Prime factorization of 76170 in exponential form is:

76170 = 2¹ × 3¹ × 5¹ × 2539¹

Step-2: Prime Factorization of 76185

Prime factors of 76185 are 3, 5, 1693. Prime factorization of 76185 in exponential form is:

76185 = 3² × 5¹ × 1693¹

Step-3: Factors of 76170

List of positive integer factors of 76170 that divides 76170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2539, 5078, 7617, 12695, 15234, 25390, 38085

Step-4: Factors of 76185

List of positive integer factors of 76185 that divides 76170 without a remainder.

1, 3, 5, 9, 15, 45, 1693, 5079, 8465, 15237, 25395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76170 and 76185. The biggest common factor number is the GCF number.
So the greatest common factor 76170 and 76185 is 15.

Also check out the Least Common Multiple of 76170 and 76185